Standard Majorana representations of the symmetric groups

DOI10.1007/s10801-016-0668-8zbMath1351.05228OpenAlexW2291450168MaRDI QIDQ314042

Alexander A. Ivanov, Mario Mainardis, Clara Franchi

Publication date: 12 September 2016

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-016-0668-8

zbMATH Keywords

association schemesymmetric groupSpecht moduleMajorana representationmonster group

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Association schemes, strongly regular graphs (05E30) Representations of finite symmetric groups (20C30) Vertex operators; vertex operator algebras and related structures (17B69) Symmetric groups (20B30) Designs and configurations (05B99)

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An infinite-dimensional 2-generated primitive axial algebra of monster type ⋮ Saturated Majorana representations of 𝐴₁₂ ⋮ Majorana representation of the Monster group ⋮ Radicals of \(S_n\)-invariant positive semidefinite Hermitian forms ⋮ Permutation modules for the symmetric group

Cites Work

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• Majorana representations of the symmetric group of degree 4.
• On Majorana representations of \(A _6\) and \(A _7\).
• Coherent configurations. I: Ordinary representation theory
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• The Axes of a Majorana Representation of $$A_{12}$$
• The 2A-Majorana representations of the Harada-Norton group
• Majorana representation of A6 involving 3C-algebras
• The L_2(11)-subalgebra of the Monster algebra
• Majorana representations of L3(2)
• 6-Transposition Property of  -Involutions of Vertex Operator Algebras
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